Results 21 to 30 of about 2,094 (218)

Asymptotic behavior of solutions to difference equations in Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We investigate the asymptotic properties of solutions to higher order nonlinear difference equations in Banach spaces. We introduce a new technique based on a vector version of discrete L'Hospital's rule, remainder operator, and the regional topology on ...
Janusz Migda
doaj   +1 more source

On a nonlinear differential equation in a Banach space

open access: yesSibirskie Elektronnye Matematicheskie Izvestiya, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Besova, Margarita Il'inichna   +1 more
openaire   +2 more sources

On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane

open access: yesInternational Journal of Differential Equations, 2022
In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel ...
Jurancy Ereú   +2 more
doaj   +1 more source

Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2

open access: yes上海师范大学学报. 自然科学版, 2015
This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
doaj   +1 more source

Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We prove two existence theorems for the integrodifferential equation of mixed type:x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds),x(0)=x0, where in the first part of this paperf, g, h, xare functions with values in a Banach spaceEand integrals are taken in the sense of Henstock-Kurzweil (HK).
Aneta Sikorska-Nowak   +1 more
openaire   +3 more sources

Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function

open access: yesMathematics, 2021
In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space.
Chenkuan Li   +2 more
doaj   +1 more source

Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – Application to transient elastodynamics in space-time domain [PDF]

open access: yes, 2014
It is now well established that separated representations built with the help of proper generalized decomposition (PGD) can drastically reduce computational costs associated with solution of a wide variety of problems.
BOUCINHA, Lucas   +3 more
core   +1 more source

Boundary Controllability of Nonlinear Fractional Integrodifferential Systems

open access: yesAdvances in Difference Equations, 2010
Sufficient conditions for boundary controllability of nonlinear fractional integrodifferential systems in Banach space are established. The results are obtained by using fixed point theorems.
Hamdy M. Ahmed
doaj   +2 more sources

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

open access: yes, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb   +5 more
core   +1 more source

Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces

open access: yesJournal of Function Spaces and Applications, 2007
In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the ...
Jiang Zhu, Yajuan Yu, Vasile Postolica
doaj   +1 more source

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